GCF of 6811/712, 5923/694
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6811/712, 5923/694 i.e 1/247064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6811/712, 5923/694.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6811/712,5923/694?
Given fractions are 6811/712,5923/694
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6811/712,5923/694, numerators are 6811,5923
Denominators are 712,694
The GCF of 6811,5923 is 1 .
LCM of 712,694 is 247064.
The greatest common factor of 6811/712,5923/694 = [GCF of 6811,5923]/[LCM of 712,694]= 1/247064
Therefore, the GCF of 6811/712,5923/694 is 1/247064.
To find the highest common factor of 6811,5923, we have to find the factors of both numbers and list the highest common factor.
The factors of 6811 are 1, 7, 49, 139, 973, 6811
The factors of 5923 are 1, 5923
The HCF of 6811,5923 is 1.
Lets's calculate GCF of 6811,5923
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6811,5923 By Matching Biggest Common Factor Method
Now, list down the factors of 6811
:1,7,49,139,973,6811
Now, list down the factors of 5923
:1,5923
Greatest Common Factor
We found the factors 6811,5923 . The biggest common factor number is the GCF number.
So the greatest common factor 6811,5923 is 1.
Lets's calculate LCM of 712,694
| 2 | 712, 694 |
| 356, 347 |
∴ So the LCM of the given numbers is 2 x 356 x 347 = 247064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/247064
Therefore, the GCF of Fractions 6811/712,5923/694 is 1/247064
Least Common Multiple of 712,694 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 712,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,694) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(712,694) x common factors =2 x 1 = 2
LCM(712,694) = ( 712 × 694 ) / 2
LCM(712,694) = 494128 / 2
LCM(712,694) = 247064
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FAQs on GCF of Fractions of 6811/712, 5923/694
1. What is the HCF of 6811,5923?
The HCF of 6811,5923 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6811/712, 5923/694?
Answer: GCF of Numerators as per given numbers 6811/712, 5923/694 is
GCF of Numerators i.e. for 6811,5923 is 1
LCM of denominators i.e. for 712,694 is 247064.
Thus, GCF of Fractions is 1/247064.Finally, GCF of Fractions for 6811/712, 5923/694 is 1/247064.